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We perform a consistent calculation of primordial black hole (PBH) mass spectrum and second-order induced gravitational wave (GW) background produced from primordial scalar perturbations in radiation era of the early Universe. It is shown…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-26 Edgar Bugaev , Peter Klimai

Pulsar timing offers an independent avenue to test general relativity and alternative gravity theories. This requires an understanding of how metric polarizations beyond the familiar transverse tensor ones imprint as a stochastic…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Reginald Christian Bernardo , Kin-Wang Ng

Pulsar-timing arrays (PTAs) are seeking gravitational waves from supermassive-black-hole binaries, and there are prospects to complement these searches with stellar-astrometry measurements. Theorists still disagree, however, as to whether…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-19 Selim C. Hotinli , Marc Kamionkowski , Andrew H. Jaffe

The merger of a super-massive binary black hole (SBBH) is one of the most extreme events in the universe with a huge amount of energy released by gravitational radiation. Although the characteristic gravitational wave (GW) frequency around…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Naoki Seto

Recent pulsar timing array results, including the NANOGrav 15-year data set, show evidence for a stochastic gravitational-wave background (GWB) in the nanohertz band. We present a Bayesian framework to compare three possible origins: (i) a…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-28 Mengshen Wang , Zuocheng Zhang , Hua Xu

The evidence of the stochastic gravitational-wave background around the nano-hertz frequency range was recently found by worldwide pulsar timing array (PTA) collaborations. One of the cosmological explanations is the gravitational waves…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-27 Keisuke Harigaya , Keisuke Inomata , Takahiro Terada

Within the next several years, pulsar-timing array programs will likely usher in the next era of gravitational-wave astronomy through the detection of a stochastic background of nanohertz-frequency gravitational waves, originating from a…

Instrumentation and Methods for Astrophysics · Physics 2020-10-21 Stephen R. Taylor , Rutger van Haasteren , Alberto Sesana

We present constraints on the nanohertz gravitational wave background (GWB) using X-ray pulsar timing data from the Neutron Star Interior Composition Explorer(\textit{NICER}). By analyzing six millisecond pulsars over a six-year…

High Energy Astrophysical Phenomena · Physics 2025-12-22 Tian-Yong Cao , Shi-jie Zheng , Shu-Xu Yi , Ming-Yu Ge , Yi-Tao Yin , Yao-Ming Duan , Xiang Yang , Wen

Pulsar timing arrays gathered evidence of the presence of a gravitational wave background around nHz frequencies. If the gravitational wave background was induced by large and Gaussian primordial fluctuations, they would then produce too…

General Relativity and Quantum Cosmology · Physics 2023-07-18 Shyam Balaji , Guillem Domènech , Gabriele Franciolini

The question of whether the parity violation occurs in gravitational interaction has recently attracted much attention. In this paper, we investigate the scalar induced gravitational waves (SIGWs) in symmetric teleparallel gravity…

General Relativity and Quantum Cosmology · Physics 2025-08-21 Fengge Zhang

The NANOGrav, PPTA, EPTA, CPTA and MPTA collaborations have reported compelling evidence for the existence of the Stochastic Gravitational-Wave Background (SGWB). This inferred background's amplitude and frequency spectrum align closely…

High Energy Astrophysical Phenomena · Physics 2025-07-08 Zhao-Qiang Shen , Guan-Wen Yuan , Yi-Ying Wang , Yuan-Zhu Wang , Yin-Jie Li , Yi-Zhong Fan

We introduce a technique for gravitational-wave analysis, where Gaussian process regression is used to emulate the strain spectrum of a stochastic background using population-synthesis simulations. This leads to direct Bayesian inference on…

Astrophysics of Galaxies · Physics 2017-05-10 Stephen R. Taylor , Joseph Simon , Laura Sampson

Pulsar Timing Array (PTA) observations hinted towards the existence of a stochastic gravitational wave background (SGWB) in the nHz frequency band. Still, the nature of the SGWB signal cannot be confidently inferred from current data, and…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-04 Stanislav Babak , Mikel Falxa , Gabriele Franciolini , Mauro Pieroni

The 15-year pulsar timing data set collected by the North American Nanohertz Observatory for Gravitational Waves (NANOGrav) shows positive evidence for the presence of a low-frequency gravitational-wave (GW) background. In this paper, we…

High Energy Astrophysical Phenomena · Physics 2023-06-29 Adeela Afzal , Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Paul T. Baker , Bence Bécsy , Jose Juan Blanco-Pillado , Laura Blecha , Kimberly K. Boddy , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Rand Burnette , Robin Case , Maria Charisi , Shami Chatterjee , Katerina Chatziioannou , Belinda D. Cheeseboro , Siyuan Chen , Tyler Cohen , James M. Cordes , Neil J. Cornish , Fronefield Crawford , H. Thankful Cromartie , Kathryn Crowter , Curt J. Cutler , Megan E. DeCesar , Dallas DeGan , Paul B. Demorest , Heling Deng , Timothy Dolch , Brendan Drachler , Richard von Eckardstein , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel E. Freedman , Nate Garver-Daniels , Peter A. Gentile , Kyle A. Gersbach , Joseph Glaser , Deborah C. Good , Lydia Guertin , Kayhan Gültekin , Jeffrey S. Hazboun , Sophie Hourihane , Kristina Islo , Ross J. Jennings , Aaron D. Johnson , Megan L. Jones , Andrew R. Kaiser , David L. Kaplan , Luke Zoltan Kelley , Matthew Kerr , Joey S. Key , Nima Laal , Michael T. Lam , William G. Lamb , T. Joseph W. Lazio , Vincent S. H. Lee , Natalia Lewandowska , Rafael R. Lino dos Santos , Tyson B. Littenberg , Tingting Liu , Duncan R. Lorimer , Jing Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin R. Madison , Alexander McEwen , James W. McKee , Maura A. McLaughlin , Natasha McMann , Bradley W. Meyers , Patrick M. Meyers , Chiara M. F. Mingarelli , Andrea Mitridate , Jonathan Nay , Priyamvada Natarajan , Cherry Ng , David J. Nice , Stella Koch Ocker , Ken D. Olum , Timothy T. Pennucci , Benetge B. P. Perera , Polina Petrov , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Joseph D. Romano , Shashwat C. Sardesai , Ann Schmiedekamp , Carl Schmiedekamp , Kai Schmitz , Tobias Schröder , Levi Schult , Brent J. Shapiro-Albert , Xavier Siemens , Joseph Simon , Magdalena S. Siwek , Ingrid H. Stairs , Daniel R. Stinebring , Kevin Stovall , Peter Stratmann , Jerry P. Sun , Abhimanyu Susobhanan , Joseph K. Swiggum , Jacob Taylor , Stephen R. Taylor , Tanner Trickle , Jacob E. Turner , Caner Unal , Michele Vallisneri , Sonali Verma , Sarah J. Vigeland , Haley M. Wahl , Qiaohong Wang , Caitlin A. Witt , David Wright , Olivia Young , Kathryn M. Zurek

Studies have shown that the use of pulsar timing arrays (PTAs) is among the approaches with the highest potential to detect very low-frequency gravitational waves in the near future. Although the capture of gravitational waves (GWs) by PTAs…

Instrumentation and Methods for Astrophysics · Physics 2020-10-13 MengNi Chen , Yuanhong Zhong , Yi Feng , Di Li , Jin Li

The astrophysical Stochastic Gravitational Wave Background (SGWB) originates from the mergers of compact binary objects that are otherwise undetected as individual events, along with other sources such as supernovae, magnetars, etc. The…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Mohit Raj Sah , Suvodip Mukherjee

Pulsar timing arrays have reported a compelling evidence of a nanohertz stochastic gravitational wave background. However, the origin of the signal remains undetermined, largely because its spectrum is bluer for an astrophysical source and…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-05 Reginald Christian Bernardo , Kin-Wang Ng

The collection of gravitational waves (GWs) that are either too weak or too numerous to be individually resolved is commonly referred to as the gravitational-wave background (GWB). A confident detection and model-driven characterization of…

We derive the gravitational-wave (GW) strain upper limits from resolvable supermassive black-hole binaries using the data from the Five-hundred-meter Aperture Spherical radio Telescope (FAST), in the context of the Chinese Pulsar Timing…

High Energy Astrophysical Phenomena · Physics 2025-02-14 R. Nicolas Caballero , Heng Xu , Kejia Lee , Siyuan Chen , Yanjun Guo , Jinchen Jiang , Bojun Wan , Jiangwei Xu , Zihan Xue
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